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25 August, 17:15

Five pulse rates are randomly selected from a set of measurements. The five pulse rates have a mean of 86.0 beats per minute. Four of the pulse rates are 94 , 91 , 85 , and 89. a. Find the missing value. b. Suppose that you need to create a list of n values that have a specific known mean. Some of the n values can be freely selected. How many of the n values can be freely assigned before the remaining values are determined? (The result is referred to as the number of degrees of freedom.)

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  1. 25 August, 20:13
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    a) The fifth pulse rate = 71

    b) As shown in this question, (n-1) variables can be assigned freely, but last one has to now be determined, just like I did with the problem in (a).

    Explanation:

    Mean/average = (Σx) / N

    The average is the sum of variables divided by the number of variables

    x = each variable

    N = number of variables = 5

    Mean = 86

    Let the unknown pulse rate be y

    86 = (94 + 91 + 85 + 89 + y) / 5

    y = 430 - (94 + 91 + 85 + 89) = 71

    b) As shown in this question, (n-1) variables can be assigned freely, but last one has to now be determined, just like I did with the problem in (a).
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